I'll assume the ODE is
Solve the homogeneous ODE,
The characteristic equation
has roots at 
and 
. Then the characteristic solution is
For nonhomogeneous ODE (1),
consider the ansatz particular solution
Substituting this into (1) gives
For the nonhomogeneous ODE (2),
take the ansatz
Substitute (2) into the ODE to get
Lastly, for the nonhomogeneous ODE (3)
take the ansatz
and solve for 
.
Then the general solution to the ODE is
Answer:
1110
Step-by-step explanation:
Answer:
The y intercept is 2
Step-by-step explanation:
Y = mx + b where b is the y intercept. Since b = 2 here, the y intercept is 2. Yes, the line crosses the y-axis at the point (0,2).
Answer:
x = 4(y + 6)/5
Step-by-step explanation:
2x - y = (3/4)x + 6
2x - (3/4)x = y + 6
(8x - 3x)/4 = y + 6
5x/4 = y + 6
5x = 4(y + 6)
5x = 4y + 24
x = (4y + 24)/5
Therefore, x = 4(y + 6)/5
Answer:
x=0.933333
Step-by-step explanation:
First you add 6 to both sides of the equation
15x - 6 + 6 = 8 +6
That gives you 15x = 14
Then you divide 15 on both sides of the equation
That gives you x = 14/15 = 0.93333
